Let O be the origin and minimum | Maths | JEE Advance 2017

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JEE Advanced 2017

Paper-2 2017

Question

Let O be the origin, and $\overrightarrow{\mathrm{OX}}, \overrightarrow{\mathrm{OY}}, \overrightarrow{\mathrm{OZ}}$ be three unit vectors in the directions of the sides $\overrightarrow{\mathrm{QR}}$, $\overrightarrow{\mathrm{RP}}, \overline{\mathrm{PQ}}$, respectively, of a triangle PQR .
If the triangle $P Q R$ varies, then the minimum value of $\cos (p+Q)+\cos (Q+R)+\operatorname{Cos}(R+P)$ is

Select the correct option:

A

$\frac{3}{2}$

B

$\frac{5}{3}$

C

$-\frac{5}{3}$

D

$-\frac{3}{2}$

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